If 12 men or 18 women can make a wall in 14 days, then working at the same rate, 8 men and 16 women can make the same wall in:
Explanation:
Let the efficiency of a man and a woman be m and w units/day respectively.
∴ Work done = 12m × 14 = 18w × 14 = (8m + 16w) × d
⇒ 12m × 14 = 18w × 14 ⇒ 2m = 3w
Now, 18w × 14 = (8m + 16w) × d ⇒ 18w × 14 = (12w + 16w) × d ⇒ 18w × 14 = 28w × d ⇒ d = 9 days
Hence, option (a).
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